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Unformatted text preview: IEOR 162, Fall 2011 Homework 02 Please DO NOT attempt to find the optimal solutions for Problems 1 to 4. 1. (Problem 3.5.5; 10 points) Each day, workers at the Gotham City Police Department work two 6hour shifts chosen from 12 A.M. to 6 A.M., 6 A.M. to 12 P.M., 12 P.M. to 6 P.M., and 6 P.M. to 12 A.M. The following number of workers are needed during each shift: 12 A.M. to 6 A.M. 15 workers; 6 A.M. to 12 P.M. 5 workers; 12 P.M. to 6 P.M. 12 workers; 6 P.M. to 12 A.M. 6 workers. Workers whose two shifts are consecutive are paid $12 per hour; workers whose shifts are not consecutive are paid $18 per hour. Formulate an LP that can be used to minimize the cost of meeting the daily workforce demands of the Gotham City Police Department. 2. (Problem 3.8.2; 10 points) O.J. Juice Company sells bags of oranges and cartons of orange juice. O.J. grades oranges on a scale of 1 (poor) to 10 (excellent). O.J. now has on hand 100,000 lb of grade 9 oranges and 120,000 lb of grade 6 oranges. The average quality of oranges sold in bags must be atoranges and 120,000 lb of grade 6 oranges....
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 Fall '07
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